Which of the following answer choices correctly graphs the equation below? y=cos(x+ 3π/4) −5

Q: Tutorial Exercise Evaluate the definite integral. Use the integration capabilities of a graphing…

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Q: dz of the following functions: Find dx 8 zx*+cos y? = sin(y °+ 22z)

A: Find your answer below

Q: Find u · v, u · u, ||v||, (u · v)v, and u · (3v). = (3, 12), v = (-4, 3) (a) u• v (b) u•u (c) ||v||2…

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Q: For the following sequence solve A to C , explain all questions. an= 1/5+3^n A. What’s the limit? B.…

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Q: 3. Use a sign chart for f" to determine the intervals on which each function f is concave up or…

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Q: The base of a three-dimensional figure is bound by the circle x² + y? = 9. Vertical cross sections…

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Q: Solve the following differential equation using variation of parameter. 4y" – y = xe"/2; y(0) = 1,…

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Q: 4. f(x) = Vx , g(x) = Vx + 1 %3D %3D V4-x2 5. f(x) g(x) = |x| %3D V4-x

A: 4. Given : f(x) = ³√x = (x)1/3 and g(x) = √(x + 1) = (x + 1)1/2 fog = f[g(x)] fog = f[(x + 1)1/2]…

Q: MULTIPLE CHOICE. Read and analyze the questions then write the letter that corresponds to your…

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Q: 4. Given that ! n+1 0.47199 determine the value of " +1

A: Here we have to find the given value.

Q: Examples: Find the limits of the following: 1. lim sin x = sin1 = 2 5. lim sec x = lim cos(-) = cos0…

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = fx) 8.…

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Q: (b) x" – x' – 2x = 0; x(0) = 0, x'(0) = 2

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Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: Write the equation of a sine or cosine function to describe the graph. `y 4+ 3+ 2- 87 10n | -1 3 3 3

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Q: F the curve. -)i + sin(nt)j

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Q: Find f'"'(x), the third derivative of f, and f (x), the fourth derivative of f. f(x) = 7x* + 2x³ +…

A: In the original solution it had been shown that:  f4x=ddxf'''x=ddx168x+12=1681+0=168

Q: Solve the equation: (x² – xy + y² )dx – xydy = 0. %3D O (v - x) el:) = (v - x) e(G) = c O (v - x) =…

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Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) V…

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Q: Solve the equation: (2r – xy? – 2y + 3)dx – (x²y + 2x)dy = 0 x4 – 2ry? – 4xy + 6x = c O x* - x²y² –…

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Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A: We have to find the total cost.

Q: Use the Product Rule to calculate the derivative for the function h(t) = (t² + 3) (t + 8) at t = 2.…

A: Product rule:d(uv) = u v' + v…

Q: Let f(x) = r³ – 3.r² + 4. Using the Mean Value Theorem, determine the value of c € (0,3) such that…

A: Given    f(x) = x3-3x2+41. Continuity:     we know that, every polynomial function is continous in…

Q: (In billions of dollars per year) can be modeled D'(t) = 841.51 + 815.24t- 189.51?+19.16t where t is…

A: Given

Q: Find the gradient of the function at the given point. 2 = In(x2 – y) - 9, (2,3) Vz(2, 3) = Need…

A: This is a problem related to derivation. Please follow the procedure given below for solution.

Q: The sum of the geometric series 1 3-1+ 3 1 + 9. 1 +- 81 - 27 is: none 13 914 OO O

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Sketch the graph of the given polar equations. 57 17. 0 = 6.

A: We have given a polar equation,                    (θ)= 5π/6 Now, we have to draw it's graph.

Q: Jse the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? O…

A: We have to find the vertex

Q: Which of the following is true for the series 3n? Σ 4n3 +9 n =0 Converges to 0 O Divergent O None…

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Q: 1.(a) Do there exist integers a, b, c such that gcd(a, b) = 30, gcd(b, c) = 24, gcd(a, c) = 54?…

A: Solving

Q: The position of a particle moving in a straight line is given by s() =- 8² + 28r, where s(t)…

A: Solution )  s(t) = t3/3 - 8t2 + 28 t  Differentiate with respect to t   v (t) = s'(t)  = 3t2/3 - 8×2…

Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: A region bounded by f(x) = 5 -x, y 1, and x 1 is shown. What is the volume of the solid formed by…

A: Let's find.

Q: 2.) Use the comparison test to determine if the series is convergent or divergent: 2n+3 Σ 3n2 +2 n…

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Q: Determine the number at which h(x) = V16 – x² is continuous. %3D | Vx²-1 Determine the largest…

A: Note that: A function is said to be a continuous function on some interval when the function is…

Q: 2. There is an element from the group Qu of order: (a)3 (b) 5 (c) 6 (d) 4 The correct answer is (a)…

A: We know order of an element in a divides the order of the group. We know center of Sn is trivial for…

Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

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Q: dz (b) Determine the by using the Chain rule with the following information: ds 2 X = - s2 2 7 z =…

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Q: F (x, y, z) = x²yz² – 3xy°z + 2y°z²

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Q: Find the area of the region enclosed by the rose r= 20 cos 30. NOTE: Enter the exact answer. A %3D

A: Solution is given below:

Q: ders of integration. Use the more convenient order to evaluate the integral over the plane dA unded…

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Q: X/2

A: We have to find ∫3x2 dx.

Q: 5-e xp 2x 2x e du= 2e2x

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Q: evaluate the integrel of (4+r)^3 dr

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Q: Approximate the area under the curve y = x from r = 2 to a = 5 using a Right Endpoint approximation…

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Q: 5-e* 2x

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Q: b) Find the exact area of the region enclosed by the curve y = x² – 3x, the x-axis and the vertical…

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Q: Consider the following. u = 3i -j-k, v = -i + 5j + 7k (a) Find the projection of u onto v. (b) Find…

A: Given: u=3i-j-k, v=-i+5j+7k The expression for the vector projection of u onto v is: projvu=u·vv2v…

Q: For each of the following series determine if the series converg for series convergence or…

A: Given